an analytical solution for cylindrical concrete tank on deformable soil

cylindrical concrete tanks are commonly used in wastewater treatment plants. these are usually clarifier tanks. design codes of practice provide methods to calculate design forces in the wall and raft of such tanks. these methods neglect self-weight of tank material and assume extreme, namely ‘fixed’ and ‘hinged’ conditions for the wall bottom. however, when founded on deformable soil, the actual condition at the wall bottom is neither fixed nor hinged. further, the self-weight of the tank wall does affect the design forces. thus, it is required to offer better insight of the combined effect of deformable soil and bottom raft stiffness on the design forces induced in such cylindrical concrete tanks. a systematic analytical method based on fundamental equations of shells is presented in this paper. important observations on variation of design forces across the wall and the raft with different soil conditions are given. set of commonly used tanks, are analysed using equations developed in the paper and are appended at the end.